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Related papers: Polymer pinning at an interface

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In this paper we study a two-dimensional directed self-avoiding walk model of a random copolymer in a random emulsion.

Probability · Mathematics 2007-05-23 F den Hollander , S G Whittington

In this paper we investigate the dynamical behavior of an interface or polymer, in interaction with a distant attractive substrate. The interface is modeled by the graph of a nearest neighbor path with non-negative integer coordinates, and…

Probability · Mathematics 2014-01-06 Hubert Lacoin , Augusto Teixeira

We consider the problem of undirected polymers (tied at the endpoints) in random environment, also known as the unoriented first passage percolation on the hypercube, in the limit of large dimensions. By means of the multiscale refinement…

Probability · Mathematics 2020-12-09 Nicola Kistler , Adrien Schertzer

We have used computer simulation to study the collapse of a hydrophobic chain in water. We find that the mechanism of collapse is much like that of a first order phase transition. The evaporation of water in the vicinity of the polymer…

Soft Condensed Matter · Physics 2007-05-23 Pieter Rein ten Wolde , David Chandler

We study a single statistical amphiphilic copolymer chain AB in a selective solvent (e.g.water). Two situations are considered. In the annealed case, hydrophilic (A) and hydrophobic (B) monomers are at local chemical equilibrium and both…

Condensed Matter · Physics 2009-10-22 T. Garel , L. Leibler , H. Orland

We provide an introductory account of a tricritical phase diagram, in the setting of a mean-field random walk model of a polymer density transition, and clarify the nature of the density transition in this context. We consider a…

Mathematical Physics · Physics 2020-11-25 Roland Bauerschmidt , Gordon Slade

The competition in the pinning of a directed polymer by a columnar pin and a background of random point impurities is investigated systematically using the renormalization group method. With the aid of the mapping to the noisy-Burgers'…

Condensed Matter · Physics 2009-10-22 Terence Hwa , Thomas Nattermann

The impact of impenetrable obstacles on the energetics and equilibrium structure of strongly repulsive directed polymers is investigated. As a result of the strong interactions, regions of severe polymer depletion and excess are found in…

Soft Condensed Matter · Physics 2013-08-30 Anton Souslov , D. Zeb Rocklin , Paul M. Goldbart

The self-avoid random walk algorithm has been extensively used in the study of polymers. In this work we study the basic properties of the trajectories generated with this algorithm when two interactions are added to it: contact and folding…

Soft Condensed Matter · Physics 2023-04-14 R. J. Santos Neto , A. A. Costa , P. F. Gomes

The present paper is dedicated to the 2-dimensional Interacting Partially Directed Self Avoiding Walk constrained to remain in the upper-half plan and interacting with the horizontal axis. The model has been introduced in \cite{F90} to…

Probability · Mathematics 2020-09-22 Alexandre Legrand , Nicolas Pétrélis

We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare but have strong intensity. In this regime, we determine the…

Probability · Mathematics 2008-07-26 Erwin Bolthausen , Francesco Caravenna , Béatrice de Tilière

We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperature, the polymer is delocalized in the…

Probability · Mathematics 2015-05-20 Yueyun Hu , Davar Khoshnevisan , Marc Wouts

We study the interplay between wetting and miscibility of a symmetric polymer mixture via MC simulations and SCF calculations. The film surfaces interact with the monomers via short ranged potentials and the wetting transition is of first…

Soft Condensed Matter · Physics 2007-05-23 Marcus Mueller , Kurt Binder

The effects of contact-line pinning are well-known in macroscopic systems, but are only just beginning to be explored at the microscale in colloidal suspensions. We use digital holography to capture the fast three-dimensional dynamics of…

Soft Condensed Matter · Physics 2017-09-13 Anna Wang , W. Benjamin Rogers , Vinothan N. Manoharan

Within self-consistent field theory we study the phase behaviour of a symmetric binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A component…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder , E. V. Albano

Using Brownian Dynamics, we study the dynamical behavior of a polymer grafted onto an adhesive surface close to the mechanically induced adsorption-stretching transition. Even though the transition is first order, (in the infinite chain…

We show that the interaction of an oil-dispersed colloidal particle with an oil-water interface is highly tunable from attractive to repulsive, either by varying the sign of the colloidal charge via charge regulation, or by varying the…

Soft Condensed Matter · Physics 2016-08-25 Jeffrey Everts , Sela Samin , René van Roij

We study the conformational properties of heteropolymers containing two types of monomers A and B, modeled as self-avoiding random walks on a regular lattice. Such a model can describe in particular the sequences of hydrophobic and…

Disordered Systems and Neural Networks · Physics 2014-09-01 Viktoria Blavatska , Wolfhard Janke

We consider a polymer with configuration modelled by the trajectory of a Markov chain, interacting with a potential of form $u+V_n$ when it visits a particular state 0 at time $n$, with $\{V_n\}$ representing i.i.d. quenched disorder. There…

Probability · Mathematics 2010-01-14 Kenneth S. Alexander , Nikos Zygouras

We study the effect of a gradient of solvent quality on the coil-globule transition for a polymer in a narrow pore. A simple self-attracting self-avoiding walk model of a polymer in solution shows that the variation in the strength of…

Soft Condensed Matter · Physics 2015-06-17 S Nath , D P Foster , D Giri , S Kumar
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